4 problems

The ecological succession model is considered in dimension $d$, with birth-rate parameters $(\lambda_1,\lambda_2)\in\mathbf{R}^2$; in dimension $2$, coexistence means that both typ…

Consider an ecological game in which species or groups interact through dominance relations. An ecosystem is asymmetric yet stable when its dominance structure is imbalanced but it…

Let $\mu$ be a weak limit point of the quasi-stationary distributions for the Thompson host–parasitoid process $X_t^\varepsilon$, and suppose that $k\geq 1$. In this regime parasit…

Cantrell-Cosner-Lou concentration conjecture. $u$ concentrates precisely on the set of positive local maximum points of $m(x)$ as $\alpha\rightarrow\infty$.